Implicit Gradients Based Conservative Numerical Scheme for Compressible Flows

Autor:	Amareshwara Sainadh Chamarthi, Natan Hoffmann, Hiroaki Nishikawa, Steven H. Frankel
Rok vydání:	2023
Předmět:	Computational Mathematics Numerical Analysis Computational Theory and Mathematics Applied Mathematics FOS: Mathematics General Engineering Mathematics - Numerical Analysis Numerical Analysis (math.NA) Software Theoretical Computer Science
Zdroj:	Journal of Scientific Computing. 95
ISSN:	1573-7691 0885-7474
Popis:	This paper introduces a novel approach to compute the numerical fluxes at the cell boundaries for a cell-centered conservative numerical scheme. Explicit gradients used in deriving the reconstruction polynomials are replaced by high-order gradients computed by compact finite differences, referred to as implicit gradients in this paper. A problem-independent shock capturing approach via Boundary Variation Diminishing (BVD) algorithm is used to suppress oscillations for the simulation of flows with shocks and material interfaces. Several numerical test cases are carried out to verify the proposed method's capability using the implicit gradient method for compressible flows. Comment: arXiv admin note: substantial text overlap with arXiv:2106.01738
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e5a06fb8c7d11c3d9a822641a8eaaba https://doi.org/10.1007/s10915-023-02141-5 Zobrazit plný text záznamu Full text from SpringerLink